JEE Main 4 Apr 2024 Shift 2 Solved Paper

Consider a hyperbola H having centre at the origin and foci and the x-axis. Let C1 be the circle touching the hyperbola H and having the centre at the origin. Let C2 be the circle touching the hyperbola H at its vertex and having the centre at one of its foci. If areas (in sq. units) of C1 and C2 are 36π and 4π, respectively, then the length (in units) of latus rectum of H is